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Author ID: friedman.avner Recent zbMATH articles by "Friedman, Avner"
Published as: Friedman, Avner; Friedman, A.
External Links: MGP · Wikidata · GND · IdRef
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Co-Authors

210 single-authored
43 Caffarelli, Luis Ángel
35 Hu, Bei
12 Chen, Xinfu
12 Velázquez, Juan J. L.
11 Reitich, Fernando
10 Alt, Hans Wilhelm
9 Siewe, Nourridine
8 DiBenedetto, Emmanuele
8 Hao, Wenrui
8 McLeod, John Bryce
8 Yakubu, Abdul-Aziz
7 Fontelos López, Marco Antonio
6 Bazaliy, Borys V.
6 Cui, Shangbin
6 Kim, Yangjin
6 Ledzewicz, Urszula
5 Anderson, Robert F. V.
5 Devinatz, Allen
5 Lai, Xiulan
5 Lam, King-Yeung
5 Pinsky, Mark Allan
5 Xue, Chuan
4 Bellout, Hamid
4 Bensoussan, Alain
4 Brézis, Haïm
4 Craciun, Gheorghe
4 Huang, Chaocheng
4 Kao, Chiu-Yen
4 Littman, Walter
4 Shinbrot, Marvin
4 Torelli, Alessandro
4 Turkington, Bruce E.
4 Vogelius, Michael S.
3 Aguda, Baltazar D.
3 Elliott, Charles M.
3 Evans, Lawrence Craig
3 Herrero, Miguel Ángel
3 Huang, Shaoyun
3 Jiang, Lishang
3 Lacey, Andrew A.
3 Liao, Kang-Ling
3 Liu, Yong
3 Ross, David Stuart
2 Bai, Xue-Feng
2 Baiocchi, Claudio
2 Bazaliy, Yaroslaw B.
2 Chen, Duan
2 Dembele, Bassidy
2 Elliott, Robert James
2 Goel, Pranay
2 Green, J. Edward F.
2 Isakov, Victor M.
2 Jain, Harsh Vardhan
2 Kashdan, Eugene
2 Kaur, Balveen
2 Kinderlehrer, David
2 Lesinski, Gregory B.
2 Liu, Wenxiong
2 Lo, Wing-Cheong
2 Lungu, Edward M.
2 Marsh, Clay B.
2 Moise, Nicolae
2 Oswald, Luc
2 Ou, Biao
2 Pozzi, Gianni Arrigo
2 Satoskar, Abhay R.
2 Schättler, Heinz Michael
2 Shih, Chih-Wen
2 Tao, Youshan
2 Tzavaras, Athanasios E.
2 Véron, Laurent
2 Vogel, Thomas Irvin
2 Yong, Jiongmin
2 Zhang, Jianhua
1 Aronson, Donald G.
1 Arsenescu, Razvan I.
1 Atiyah, Michael Francis
1 Banasiak, Jacek
1 Bao, Gang
1 Barbu, Viorel
1 Bassom, Andrew P.
1 Beckenbach, Edwin Ford
1 Bell, Jonathan
1 Bemelmans, Josef
1 Bernis, Francisco
1 Bojarski, Bogdan
1 Borisovich, Andreĭ Yur’evich
1 Borisyuk, Alla
1 Boushaba, Khalid
1 Brokate, Martin
1 Bruno, Oscar P.
1 Budd, Christopher John
1 Caligiuri, Michael A.
1 Chechkin, Gregory Aleksandrovich
1 Chiocca, E. Antonio
1 Chou, Ching-Shan
1 Conley, Elizabeth
1 Conwell, Darwin L.
1 Coskun, Huseyin
1 Crouser, Elliott D.
...and 113 more Co-Authors
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Serials

48 Journal of Differential Equations
46 Transactions of the American Mathematical Society
38 Archive for Rational Mechanics and Analysis
34 Indiana University Mathematics Journal
26 Journal of Mathematical Analysis and Applications
21 Journal of Mathematics and Mechanics
20 SIAM Journal on Mathematical Analysis
15 Journal of Theoretical Biology
14 Bulletin of Mathematical Biology
13 Mathematical Biosciences and Engineering
12 Communications in Partial Differential Equations
11 The IMA Volumes in Mathematics and its Applications
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Pacific Journal of Mathematics
10 SIAM Journal on Control and Optimization
10 Nonlinear Analysis. Theory, Methods & Applications
8 Journal of Mathematical Biology
8 Discrete and Continuous Dynamical Systems. Series B
7 SIAM Journal on Applied Mathematics
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Proceedings of the National Academy of Sciences of the United States of America
5 Bulletin of the American Mathematical Society
4 Mathematical Biosciences
4 Journal of Functional Analysis
4 Journal für die Reine und Angewandte Mathematik
4 Kiberneticheskiĭ Sbornik. Novaya Seriya
4 European Journal of Applied Mathematics
4 Interfaces and Free Boundaries
3 Journal d’Analyse Mathématique
3 Acta Mathematica
3 Illinois Journal of Mathematics
3 Michigan Mathematical Journal
3 Notices of the American Mathematical Society
3 Lecture Notes in Mathematics
3 Journal of Biological Dynamics
2 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Polonici Mathematici
2 Mathematics of Operations Research
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 Asymptotic Analysis
2 SIAM Review
2 Discrete and Continuous Dynamical Systems
2 Multiscale Modeling & Simulation
2 Mathematical Modelling of Natural Phenomena
2 Lecture Notes on Mathematical Modelling in the Life Sciences
2 Oxford Graduate Texts
1 Inverse Problems
1 Israel Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Optimization
1 Journal of the Faculty of Science. Section I A
1 Journal of Optimization Theory and Applications
1 Chinese Annals of Mathematics. Series B
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Continuum Mechanics and Thermodynamics
1 Applied Mathematics. Series A (Chinese Edition)
1 Journal of Mathematical Sciences (New York)
1 Finance and Stochastics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España)
1 SIAM Journal on Control
1 Regional Conference Series in Mathematics
1 Mathematics in Industry
1 Networks and Heterogeneous Media
1 Science China. Mathematics
1 Philosophical Transactions A. Royal Society of London
1 CBMS Regional Conference Series in Mathematics
1 Springer Undergraduate Texts in Mathematics and Technology
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Fields

314 Partial differential equations (35-XX)
132 Biology and other natural sciences (92-XX)
73 Fluid mechanics (76-XX)
68 Calculus of variations and optimal control; optimization (49-XX)
39 Probability theory and stochastic processes (60-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Mechanics of deformable solids (74-XX)
27 General and overarching topics; collections (00-XX)
25 Systems theory; control (93-XX)
19 Ordinary differential equations (34-XX)
19 Optics, electromagnetic theory (78-XX)
16 Classical thermodynamics, heat transfer (80-XX)
12 Statistics (62-XX)
11 Operations research, mathematical programming (90-XX)
10 Potential theory (31-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Operator theory (47-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Integral equations (45-XX)
5 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

468 Publications have been cited 12,522 times in 9,110 Documents Cited by Year
Partial differential equations of parabolic type. Zbl 0144.34903
Friedman, Avner
1964
Partial differential equations. Zbl 0224.35002
Friedman, Avner
564
1969
Variational principles and free-boundary problems. Zbl 0564.49002
Friedman, Avner
445
1982
Stochastic differential equations and applications. Vol. 1. Zbl 0323.60056
Friedman, Avner
386
1975
Blow-up of positive solutions of semilinear heat equations. Zbl 0576.35068
Friedman, Avner; McLeod, Bryce
351
1985
Variational problems with two phases and their free boundary. Zbl 0844.35137
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
224
1984
Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143
Bernis, Francisco; Friedman, Avner
207
1990
Differential games. Zbl 0229.90060
Friedman, Avner
200
1971
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
195
1985
Stochastic differential equations and applications. Vol. 2. Zbl 0323.60057
Friedman, Avner
188
1976
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
157
1999
Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043
Brézis, Haïm; Friedman, Avner
148
1983
Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002
Friedman, Avner
140
1957
Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065
Caffarelli, Luis A.; Friedman, Avner
109
1985
The Stefan problem in several space variables. Zbl 0162.41903
Friedman, A.
106
1968
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
102
2000
Variational principles and free-boundary problems. Reprint. Zbl 0671.49001
Friedman, Avner
101
1988
Generalized functions and partial differential equations. Zbl 0116.07002
Friedman, A.
92
1963
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
88
1984
Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041
Friedman, Avner
85
1986
Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Zbl 0983.35019
Friedman, Avner; Reitich, Fernando
82
2001
Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085
Caffarelli, Luis A.; Friedman, Avner
82
1980
Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030
Fontelos, Marco A.; Friedman, Avner; Hu, Bei
76
2002
Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Zbl 0295.35045
Friedman, Avner
74
1975
Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087
Friedman, Avner; Vogelius, Michael
73
1989
Foundations of modern analysis. Zbl 0198.07601
Friedman, Avner
71
1970
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
70
2000
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
68
2006
The asymptotic behavior of gas in an \(n\)-dimensional porous medium. Zbl 0447.76076
Friedman, Avner; Kamin, Shoshana
67
1980
A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
65
1984
Blow-up of solutions of nonlinear degenerate parabolic equations. Zbl 0619.35060
Friedman, Avner; McLeod, Bryce
65
1986
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
64
2007
The obstacle problem for the biharmonic operator. Zbl 0405.31007
Caffarelli, Luis A.; Friedman, Avner
62
1979
Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046
Evans, Lawrence C.; Friedman, Avner
62
1979
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
60
2003
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
59
1975
The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049
Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L.
59
1999
Remarks on the maximum principle for parabolic equations and its applications. Zbl 0103.06403
Friedman, Avner
57
1958
Volterra integral equations in Banach space. Zbl 0147.12302
Friedman, A.; Shinbrot, M.
57
1967
Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047
Caffarelli, Luis A.; Friedman, Avner
57
1985
Determining cracks by boundary measurements. Zbl 0697.35165
Friedman, Avner; Vogelius, Michael
57
1989
Free boundary problems for parabolic equations. I: Melting of solids. Zbl 0089.07801
Friedman, Avner
55
1959
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
54
2006
Stability of solutions of chemotaxis equations in reinforced random walks. Zbl 1025.35005
Friedman, Avner; Tello, J. Ignacio
54
2002
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
53
2004
Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145
Fontelos, Marco A.; Friedman, Avner
53
2003
On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations. Zbl 0078.27702
Friedman, Avner
53
1958
Partial differential equations of parabolic type. Zbl 0173.12701
Friedman, A.
52
1968
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
52
2006
Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060
Caffarelli, Luis A.; Friedman, Avner
52
1979
Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169
Cui, Shangbin; Friedman, Avner
51
2001
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
51
2008
Foundations of modern analysis. Reprint of the 1970 orig. Zbl 0557.46001
Friedman, Avner
50
1982
The blow-up boundary for nonlinear wave equations. Zbl 0638.35053
Caffarelli, Luis A.; Friedman, Avner
47
1986
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
47
2007
Axially symmetric jet flows. Zbl 0515.76017
Alt, H. W.; Caffarelli, L. A.; Friedman, A.
47
1983
The free boundary of a semilinear elliptic equation. Zbl 0552.35079
Friedman, Avner; Phillips, Daniel
47
1984
Stochastic differential games. Zbl 0208.39402
Friedman, Avner
47
1972
A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042
Friedman, Avner; Giga, Yoshikazu
45
1987
Optimal control for variational inequalities. Zbl 0604.49007
Friedman, Avner
45
1986
The shape of axisymmetric rotating fluid. Zbl 0439.35068
Caffarelli, Luis A.; Friedman, Avner
45
1980
Asymptotic estimates for the plasma problem. Zbl 0466.35033
Caffarelli, Luis A.; Friedman, Avner
44
1980
On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165
Friedman, Avner; Isakov, Victor
43
1989
The time-harmonic Maxwell equations in a doubly periodic structure. Zbl 0759.35046
Dobson, David; Friedman, Avner
43
1992
Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079
Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner
42
1980
A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151
Bazaliy, Borys V.; Friedman, Avner
42
2003
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
42
2014
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
41
2005
Asymmetric jet flows. Zbl 0515.76018
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
40
1982
Jets with two fluids. I. One free boundary. Zbl 0551.76013
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
40
1984
Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. Zbl 1072.35208
Reitich, Fernando; Friedman, Avner
40
2001
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
40
1974
Regularity of the free boundary for the one-dimensional flow of gas in a porous medium. Zbl 0439.76084
Caffarelli, Luis A.; Friedman, Avner
40
1979
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
40
2015
Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050
Friedman, Avner; Herrero, Miguel A.
39
1987
Vortex rings: existence and asymptotic estimates. Zbl 0497.76031
Friedman, Avner; Turkington, Bruce
39
1981
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
39
1984
Jet flows with gravity. Zbl 0561.76022
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
38
1982
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuelle; Friedman, Avner
38
1985
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
36
1977
On integral equations of Volterra type. Zbl 0134.31502
Friedman, A.
35
1963
Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079
Bazaliy, Borys; Friedman, Avner
34
2003
Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Zbl 0593.35055
Caffarelli, Luis A.; Friedman, Avner
34
1985
Interior estimates for parabolic systems of partial differential equations. Zbl 0082.30402
Friedman, Avner
33
1958
Systems of nonlinear wave equations with nonlinear viscosity. Zbl 0685.35070
Friedman, Avner; Nečas, Jindřich
32
1988
Compressible flows of jets and cavities. Zbl 0614.76074
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
32
1985
Asymptotic behavior of solutions of \(u_ t=\Delta u^ m\) as \(m\to \infty\). Zbl 0651.35039
Caffarelli, Luis A.; Friedman, Avner
31
1987
Jets with two fluids. II: Two free boundaries. Zbl 0588.76017
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
31
1984
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
30
2007
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
30
1991
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
30
2015
Blow-up of solutions of nonlinear heat equations. Zbl 0653.35038
Caffarelli, Luis A.; Friedman, Avner
29
1988
A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018
Cui, Shangbin; Friedman, Avner
29
2003
Continuity of the temperature in the Stefan problem. Zbl 0406.35032
Caffarelli, Luis A.; Friedman, Avner
28
1979
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
28
1986
Optimal control for parabolic variational inequalities. Zbl 0624.49005
Friedman, Avner
27
1987
The asymptotic behavior of the first real eigenvalue of second order elliptic operators with a smallparameter in the highest derivatives. II. Zbl 0263.35026
Devinatz, Allen; Ellis, Richard; Friedman, Avner
26
1974
Stochastic games and variational inequalities. Zbl 0285.90089
Friedman, Avner
26
1973
Isometric embedding of riemannian manifolds into Euclidean spaces. Zbl 0137.14901
Friedman, A.
25
1965
The free boundary for elastic-plastic torsion problems. Zbl 0426.35033
Caffarelli, Luis A.; Friedman, Avner
25
1979
Mathematical modeling of cancer treatment with radiation and PD-L1 inhibitor. Zbl 1431.35253
Lai, Xiulan; Friedman, Avner
7
2020
Overcoming drug resistance to BRAF inhibitor. Zbl 1432.92046
Friedman, Avner; Siewe, Nourridine
2
2020
Mathematical model of chronic dermal wounds in diabetes and obesity. Zbl 1453.92073
Friedman, Avner; Siewe, Nourridine
1
2020
Increase hemoglobin level in severe malarial anemia while controlling parasitemia: a mathematical model. Zbl 1448.92104
Siewe, Nourridine; Friedman, Avner
1
2020
Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. Zbl 1406.92312
Lai, Xiulan; Friedman, Avner
6
2019
Antagonism and negative side-effects in combination therapy for cancer. Zbl 1418.35386
Friedman, Avner; Lai, Xiulan
3
2019
Free boundary problems associated with cancer treatment by combination therapy. Zbl 1425.35240
Friedman, Avner; Lai, Xiulan
2
2019
Rheumatoid arthritis – a mathematical model. Zbl 1406.92273
Moise, Nicolae; Friedman, Avner
2
2019
Mathematical biology: modeling and analysis. Zbl 1404.92002
Friedman, Avner
13
2018
The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056
Friedman, Avner; Hao, Wenrui
9
2018
Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy. Zbl 1416.92051
Kim, Yangjin; Yoo, Ji Young; Lee, Tae Jin; Liu, Joseph; Yu, Jianhua; Caligiuri, Michael A.; Kaur, Balveen; Friedman, Avner
3
2018
Free boundary problems arising in biology. Zbl 1374.35409
Friedman, Avner
1
2018
Mathematical model of chronic pancreatitis. Zbl 1404.92096
Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner
8
2017
Granuloma formation in leishmaniasis: a mathematical model. Zbl 1368.92087
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner
7
2017
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
4
2017
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
Introduction to mathematical biology. Modeling, analysis, and simulations. Zbl 1351.92001
Chou, Ching-Shan; Friedman, Avner
8
2016
Immune response to infection by Leishmania: a mathematical model. Zbl 1341.92042
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner
8
2016
Free boundary problems for systems of Stokes equations. Zbl 1357.35298
Friedman, Avner
7
2016
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
40
2015
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
30
2015
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
17
2015
Free boundary problems in biology. Zbl 1353.35291
Friedman, Avner
14
2015
Effects of CCN1 and macrophage content on glioma virotherapy: a mathematical model. Zbl 1335.92040
Jacobsen, Karly; Russell, Luke; Kaur, Balveen; Friedman, Avner
5
2015
A PDE model for the dynamics of trail formation by ants. Zbl 1311.35325
Fontelos, Marco A.; Friedman, Avner
3
2015
The role of the cytokines IL-27 and IL-35 in cancer. Zbl 1326.92034
Friedman, Avner; Liao, Kang-Ling
1
2015
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
42
2014
Mathematical model of sarcoidosis. Zbl 1355.92049
Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner
22
2014
On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388
Friedman, Avner; Hu, Bei; Xue, Chuan
10
2014
Mathematical modeling of biological processes. Zbl 1302.92004
Friedman, Avner; Kao, Chiu-Yen
5
2014
A Bovine babesiosis model with dispersion. Zbl 1282.92019
Friedman, Avner; Yakubu, Abdul-Aziz
3
2014
On the stability of steady states in a granuloma model. Zbl 1288.35482
Friedman, Avner; Lam, King-Yeung
3
2014
Modulation of the camp response by \(\mathrm{G}\alpha _i\) and \(\mathrm{G}\beta \gamma \): a computational study of G protein signaling in immune cells. Zbl 1298.92038
Leander, R.; Friedman, A.
1
2014
Mathematical model of renal interstitial fibrosis. Zbl 1355.92050
Hao, Wenrui; Rovin, Brad H.; Friedman, Avner
1
2014
Anthrax epizootic and migration: persistence or extinction. Zbl 1303.92116
Friedman, Avner; Yakubu, Abdul-Aziz
17
2013
Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy. Zbl 1277.92013
Jain, Harsh Vardhan; Friedman, Avner
16
2013
A two-phase free boundary problem with discontinuous velocity: Application to tumor model. Zbl 1256.35208
Chen, Duan; Friedman, Avner
6
2013
The role of CD200-CD200R in tumor immune evasion. Zbl 1330.92024
Liao, Kang-Ling; Bai, Xue-Feng; Friedman, Avner
5
2013
Mathematical methods and models in biomedicine. Zbl 1254.92046
4
2013
Epidemiological models with seasonality. Zbl 1345.92140
Friedman, Avner
3
2013
Mathematical model of the roles of T cells in inflammatory bowel disease. Zbl 1272.92030
Lo, Wing-Cheong; Arsenescu, Razvan I.; Friedman, Avner
3
2013
A mathematical model for cell-induced gel compaction in vitro. Zbl 1257.92018
Green, J. E. F.; Bassom, Andrew P.; Friedman, Avner
2
2013
Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha? Zbl 1269.92044
Friedman, Avner; Lungu, Edward M.
1
2013
The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014
Friedman, Avner; Hu, Bei; Keener, James P.
1
2013
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
17
2012
Host demographic Allee effect, fatal disease, and migration: persistence or extinction. Zbl 1273.34052
Friedman, Avner; Yakubu, Abdul-Aziz
13
2012
Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model. Zbl 1267.92043
Chen, Duan; Roda, Julie M.; Marsh, Clay B.; Eubank, Timothy D.; Friedman, Avner
11
2012
Modeling the inhibition of breast cancer growth by GM-CSF. Zbl 1337.92118
Szomolay, Barbara; Eubank, Tim D.; Roberts, Ryan D.; Marsh, Clay B.; Friedman, Avner
9
2012
Fatal disease and demographic Allee effect: population persistence and extinction. Zbl 1447.92337
Friedman, Avner; Yakubu, Abdul-Aziz
9
2012
A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076
Friedman, Avner; Hu, Bei; Xue, Chuan
8
2012
Cancer as multifaceted disease. Zbl 1241.92038
Friedman, A.
6
2012
Conservation laws in mathematical biology. Zbl 1258.35142
Friedman, Avner
5
2012
Asymptotic limit in a cell differentiation model with consideration of transcription. Zbl 1267.34078
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
2
2012
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
10
2011
A mathematical model for chronic wounds. Zbl 1259.92043
Friedman, Avner; Xue, Chuan
7
2011
Tumor cells proliferation and migration under the influence of their microenvironment. Zbl 1259.92042
Friedman, Avner; Kim, Yangjin
6
2011
Modeling the host response to inhalation anthrax. Zbl 1405.92143
Day, Judy; Friedman, Avner; Schlesinger, Larry S.
4
2011
Interaction of tumor with its micro-environment: a mathematical model. Zbl 1197.92027
Kim, Yangjin; Friedman, Avner
17
2010
Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195
Friedman, Avner; Hu, Bei; Xue, Chuan
13
2010
Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Zbl 1191.92025
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
8
2010
Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments. Zbl 1204.92041
Kim, Yangjin; Wallace, Julie; Li, Fu; Ostrowski, Michael; Friedman, Avner
6
2010
Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024
Friedman, Avner; Hu, Bei; Kao, Chiu-Yen
5
2010
Mathematical modeling of preadipocyte fate determination. Zbl 1406.92145
Coskun, Huseyin; Summerfield, Taryn L. S.; Kniss, Douglas A.; Friedman, Avner
2
2010
What is mathematical biology and how useful is it? Zbl 1254.92004
Friedman, Avner
2
2010
A model of drug resistance with infection by health care workers. Zbl 1259.92074
Friedman, Avner; Ziyadi, Najat; Boushaba, Khalid
1
2010
A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. Zbl 1405.92032
Kim, Yangjin; Lawler, Sean; Nowicki, Michal O.; Chiocca, E. Antonio; Friedman, Avner
22
2009
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
14
2009
Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
12
2009
Asymptotic phases in a cell differentiation model. Zbl 1173.35590
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
5
2009
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
51
2008
Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005–2006. Zbl 1130.92002
10
2008
A multiscale tumor model. Zbl 1157.35501
Friedman, Avner
10
2008
Models of cellular regulation. Zbl 1231.92030
Aguda, Baltazar D.; Friedman, Avner
7
2008
The extensional flow of a thin sheet of incompressible, transversely isotropic fluid. Zbl 1141.76009
Green, J. Edward F.; Friedman, Avner
6
2008
The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524
Friedman, Avner; Hu, Bei
5
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
3
2008
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
64
2007
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
47
2007
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
30
2007
Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006
Friedman, Avner; Hu, Bei
8
2007
Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006
Friedman, Avner; Hu, Bei
3
2007
One-dimensional free boundary problem for actin-based propulsion of Listeria. Zbl 1104.92016
Bazaliy, Borys; Bazaliy, Yaroslaw; Friedman, Avner
2
2007
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
68
2006
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
54
2006
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
52
2006
A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145
Friedman, Avner
23
2006
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330
Friedman, Avner; Craciun, Gheorghe
12
2006
Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer. Zbl 1122.92030
12
2006
Homogenization of the cell cytoplasm: the calcium bidomain equations. Zbl 1128.35303
Goel, Pranay; Sneyd, James; Friedman, Avner
9
2006
Differential games. Reprint of the 1971 original ed. Zbl 1225.91011
Friedman, Avner
3
2006
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
41
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012
Borisovich, Andrei; Friedman, Avner
24
2005
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
21
2005
A model of intracellular transport of particles in an axon. Zbl 1068.92016
Friedman, Avner; Craciun, Gheorghe
17
2005
The Hele-Shaw problem with surface tension in a half-plane: a model problem. Zbl 1075.76022
Bazaliy, Borys V.; Friedman, Avner
16
2005
Generalized functions and partial differential equations. Reprint of the 1963 original. Zbl 1121.46001
Friedman, Avner
12
2005
The Hele-Shaw problem with surface tension in a half-plane. Zbl 1076.76028
Bazaliy, Borys V.; Friedman, Avner
11
2005
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
6
2005
A dynamical system model of neurofilament transport in axons. Zbl 1445.92053
Craciun, Gheorghe; Brown, Anthony; Friedman, Avner
6
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1075.35117
Friedman, Avner
2
2005
...and 368 more Documents
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Cited by 8,643 Authors

209 Friedman, Avner
54 Hu, Bei
53 Mu, Chunlai
53 Vazquez, Juan Luis
51 Winkler, Michael
43 Shahgholian, Henrik
39 Caffarelli, Luis Ángel
37 Xu, Shihe
36 Wang, Mingxin
36 Zheng, Sining
35 Galaktionov, Victor Aleksandrovich
33 Yi, Fahuai
32 Cui, Shangbin
30 Liu, Bingchen
30 Tao, Youshan
29 Pao, Chia-Ven
28 Chen, Xinfu
27 Li, Fengjie
27 Lin, Zhigui
26 Cannon, John Rozier
26 Du, Lili
25 Fasano, Antonio
24 Primicerio, Mario
23 Souplet, Philippe
23 Velázquez, Juan J. L.
22 Cao, Daomin
22 Peletier, Lambertus Adrianus
22 Shen, Wenxian
21 Ammari, Habib
21 Díaz Díaz, Jesús Ildefonso
21 Du, Yihong
21 Guo, Jong-Shenq
20 Xie, Chunhong
19 Bögelein, Verena
19 Ding, Juntang
19 Hao, Wenrui
19 Herrero, Miguel Ángel
19 Ishige, Kazuhiro
19 Perthame, Benoît
19 Rossi, Julio Daniel
19 Weiss, Georg Sebastian
19 Zaag, Hatem
18 Aronson, Donald G.
18 Cheng, Jianfeng
18 De Angelis, Tiziano
18 Karatzas, Ioannis
18 Mao, Xuerong
18 Véron, Laurent
17 Bao, Gang
17 Lee, Ki-Ahm
17 Lenhart, Suzanne M.
17 Macías-Díaz, Jorge Eduardo
17 Taranets, Roman M.
17 Valdinoci, Enrico
17 Yin, Hongming
17 Yong, Jiongmin
16 Beretta, Elena
16 Bertsch, Michiel
16 Gao, Wenjie
16 Lions, Pierre-Louis
16 Tarzia, Domingo Alberto
16 Tesei, Alberto
16 Yin, Jingxue
16 Zheng, Pan
15 Chechkin, Gregory Aleksandrovich
15 DiBenedetto, Emmanuele
15 Escher, Joachim
15 Ferrari, Fausto
15 Hu, Guanghui
15 Kamin, Shoshana
15 Lesnic, Daniel
15 Mingione, Giuseppe
15 Pascucci, Andrea
15 Rodríguez-Bernal, Aníbal
15 Salsa, Sandro
15 Wu, Junde
14 Ambrazevičius, Algirdas
14 Brenner, Susanne Cecelia
14 Kang, Hyeonbae
14 Karakhanyan, Aram L.
14 Ledzewicz, Urszula
14 Menozzi, Stéphane
14 Pukal’s’kyĭ, Ivan D.
14 Vasylyeva, Nataliya V.
13 Cai, Jingjing
13 De Silva, Daniela
13 Fila, Marek
13 Li, Peijun
13 Merle, Frank
13 Qi, Yuanwei
13 Quirós Gracián, Fernando
13 Sung, Li-Yeng
13 Suzuki, Takashi
13 Wang, Liangchen
13 Wang, Zhi Cheng
13 Yang, Zhou
12 Alessandrini, Giovanni
12 Bai, Meng
12 Bandle, Catherine
12 Bellomo, Nicola
...and 8,543 more Authors
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Cited in 703 Serials

520 Journal of Differential Equations
492 Journal of Mathematical Analysis and Applications
235 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
217 Archive for Rational Mechanics and Analysis
199 Transactions of the American Mathematical Society
173 Nonlinear Analysis. Theory, Methods & Applications
155 Communications in Partial Differential Equations
128 Applicable Analysis
126 Calculus of Variations and Partial Differential Equations
112 Nonlinear Analysis. Real World Applications
104 Mathematical Methods in the Applied Sciences
104 Applied Mathematics and Computation
104 Journal of Functional Analysis
102 Annali di Matematica Pura ed Applicata. Serie Quarta
98 Proceedings of the American Mathematical Society
96 Discrete and Continuous Dynamical Systems. Series B
93 ZAMP. Zeitschrift für angewandte Mathematik und Physik
92 Applied Mathematics and Optimization
91 SIAM Journal on Mathematical Analysis
89 Journal of Computational and Applied Mathematics
88 Journal of Mathematical Sciences (New York)
85 Computers & Mathematics with Applications
83 Journal of Optimization Theory and Applications
78 Journal of Mathematical Biology
76 Journal de Mathématiques Pures et Appliquées. Neuvième Série
76 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
73 Discrete and Continuous Dynamical Systems
71 Stochastic Processes and their Applications
69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
69 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
61 Boundary Value Problems
61 Journal of Theoretical Biology
59 Mathematische Annalen
57 Mathematische Zeitschrift
55 Communications in Mathematical Physics
52 Bulletin of Mathematical Biology
51 Stochastic Analysis and Applications
51 The Annals of Applied Probability
49 Journal of Mathematical Physics
48 European Journal of Applied Mathematics
46 Journal of Evolution Equations
44 Journal of Dynamics and Differential Equations
43 Applied Mathematics Letters
43 NoDEA. Nonlinear Differential Equations and Applications
42 Mathematics of Computation
42 Probability Theory and Related Fields
42 Differential Equations
40 Advances in Mathematics
38 Ukrainian Mathematical Journal
38 Numerische Mathematik
37 Journal of Computational Physics
37 SIAM Journal on Control and Optimization
37 Siberian Mathematical Journal
37 Acta Applicandae Mathematicae
36 Journal d’Analyse Mathématique
36 Stochastics
33 Mathematical Biosciences
33 Nonlinearity
33 Manuscripta Mathematica
33 Communications on Pure and Applied Analysis
32 Mathematical and Computer Modelling
31 Israel Journal of Mathematics
31 SIAM Journal on Applied Mathematics
30 Mathematical Biosciences and Engineering
29 Mathematical Notes
28 Quarterly of Applied Mathematics
27 Inverse Problems
27 Numerical Functional Analysis and Optimization
27 Bulletin of the American Mathematical Society
27 Discrete and Continuous Dynamical Systems. Series S
26 International Journal of Control
26 The Annals of Probability
26 Czechoslovak Mathematical Journal
26 Rendiconti del Seminario Matematico della Università di Padova
26 The Journal of Geometric Analysis
26 Potential Analysis
25 Computer Methods in Applied Mechanics and Engineering
25 Communications on Pure and Applied Mathematics
25 Physica D
25 Acta Mathematicae Applicatae Sinica. English Series
25 Doklady Mathematics
25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Zeitschrift für Analysis und ihre Anwendungen
24 Applied Numerical Mathematics
24 Journal of Scientific Computing
24 Mathematical Finance
24 Communications in Nonlinear Science and Numerical Simulation
23 Rocky Mountain Journal of Mathematics
23 Systems & Control Letters
23 Science China. Mathematics
22 Duke Mathematical Journal
22 Japan Journal of Industrial and Applied Mathematics
22 Applied Mathematical Modelling
22 Communications in Contemporary Mathematics
22 Advances in Difference Equations
21 Journal of Applied Mathematics and Mechanics
21 Journal of Soviet Mathematics
...and 603 more Serials
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Cited in 57 Fields

6,298 Partial differential equations (35-XX)
1,256 Biology and other natural sciences (92-XX)
1,109 Probability theory and stochastic processes (60-XX)
969 Fluid mechanics (76-XX)
913 Numerical analysis (65-XX)
858 Calculus of variations and optimal control; optimization (49-XX)
662 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
473 Systems theory; control (93-XX)
446 Ordinary differential equations (34-XX)
375 Operator theory (47-XX)
351 Mechanics of deformable solids (74-XX)
295 Classical thermodynamics, heat transfer (80-XX)
235 Integral equations (45-XX)
200 Dynamical systems and ergodic theory (37-XX)
181 Global analysis, analysis on manifolds (58-XX)
166 Functional analysis (46-XX)
166 Statistical mechanics, structure of matter (82-XX)
149 Differential geometry (53-XX)
145 Optics, electromagnetic theory (78-XX)
142 Potential theory (31-XX)
102 Operations research, mathematical programming (90-XX)
93 Real functions (26-XX)
82 Statistics (62-XX)
63 Quantum theory (81-XX)
48 Measure and integration (28-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
46 Computer science (68-XX)
40 Geophysics (86-XX)
34 Information and communication theory, circuits (94-XX)
33 Approximations and expansions (41-XX)
33 Astronomy and astrophysics (85-XX)
32 Mechanics of particles and systems (70-XX)
31 Difference and functional equations (39-XX)
29 Functions of a complex variable (30-XX)
29 Relativity and gravitational theory (83-XX)
23 Integral transforms, operational calculus (44-XX)
17 Convex and discrete geometry (52-XX)
15 General and overarching topics; collections (00-XX)
12 Nonassociative rings and algebras (17-XX)
12 Several complex variables and analytic spaces (32-XX)
11 General topology (54-XX)
10 History and biography (01-XX)
10 Topological groups, Lie groups (22-XX)
10 Special functions (33-XX)
10 Abstract harmonic analysis (43-XX)
9 Combinatorics (05-XX)
9 Manifolds and cell complexes (57-XX)
7 Geometry (51-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Number theory (11-XX)
5 Group theory and generalizations (20-XX)
4 Algebraic geometry (14-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)

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